This web site documents the "Surfaces Beyond the Third Dimension" art
exhibit hosted by the Providence Art Club in March and April of 1996. It
featured computer-generated artwork designed by Tom Banchoff,
in collaboration with Davide Cervone (now at Union College)
and student associates at Brown University. These works combine computer
graphics and mathematics to form images that are pleasing to the eye and
challenging to the mind. Each piece centers around surfaces built in
four-dimensional space and displayed in ways that suggest the kinds of
transformations that appear when such an object is rotated in that
space.

As a continuation of the work begun in the show, these pages bring
even more dimensions to the artwork, allowing visitors from around
the work to explore the show, and the mathematics behind it, through
the media of hypertext, interactive graphics, and electronic movies.